40579 has 16 divisors (see below), whose sum is σ = 55296. Its totient is φ = 28800.

The previous prime is 40577. The next prime is 40583. The reversal of 40579 is 97504.

40579 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 40579 - 2¹ = 40577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1294 + ... + 1324.

It is an arithmetic number, because the mean of its divisors is an integer number (3456).

2⁴⁰⁵⁷⁹ is an apocalyptic number.

40579 is a deficient number, since it is larger than the sum of its proper divisors (14717).

40579 is a wasteful number, since it uses less digits than its factorization.

40579 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 40579 is about 201.4422994309. The cubic root of 40579 is about 34.3637417677.

Adding to 40579 its sum of digits (25), we get a palindrome (40604).

It can be divided in two parts, 405 and 79, that added together give a palindrome (484).

The spelling of 40579 in words is "forty thousand, five hundred seventy-nine".